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Simplifying [x + 7 + -8] + [2x + -7 + -10] = 0 Reorder the terms: [7 + -8 + x] + [2x + -7 + -10] = 0 Combine like terms: 7 + -8 = -1 [-1 + x] + [2x + -7 + -10] = 0 Remove brackets around [-1 + x] -1 + x + [2x + -7 + -10] = 0 Reorder the terms: -1 + x + [-7 + -10 + 2x] = 0 Combine like terms: -7 + -10 = -17 -1 + x + [-17 + 2x] = 0 Remove brackets around [-17 + 2x] -1 + x + -17 + 2x = 0 Reorder the terms: -1 + -17 + x + 2x = 0 Combine like terms: -1 + -17 = -18 -18 + x + 2x = 0 Combine like terms: x + 2x = 3x -18 + 3x = 0 Solving -18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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